Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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noidis ad portiones reliquas, ita alia linea, quæ ſit lk ad
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ke: erit lk maior, quam bk: & ideo punctum l extra por
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tionem cadet. </
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<
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abbr
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Quoniã
">Quoniam</
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igitur à figura circum
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ſcripta, cuius grauitatis
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centrum eſt k, aufertur
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portio conoidis, cuius
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centrum e. </
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abbr
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habetq;
">habetque</
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lK
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ad Ke eam proportio
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nem, quam portio co
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noidis ad reliquas por
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tiones; erit punctum l
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extra portionem
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expan
abbr
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cadẽs
">cadens</
expan
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,
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centrum magnitudinis
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ex reliquis portionibus compoſitæ. </
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<
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id
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">illud autem fieri nullo
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modo poteſt. </
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<
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">quare conſtat lineam ke ipſa g linea propoſi
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ta minorem eſſe.</
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8. quínti.</
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29. quínti
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ex tradi
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tione
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Cã-pani
">Cam
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.</
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<
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">Rurſus inſcribatur portioni figura, uidelicet cylindrus
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mn, ut ſit ipſius altitudo
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æqualis dimidio axis bd:
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& quam proportionem
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habet be ad g, habeat mn
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cylindrus ad ſolidum o. </
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>
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<
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id
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s.000879
">inſcribatur deinde eidem
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alia figura, ita ut portio
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nes reliquæ ſint ſolido o
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minores: & centrum gra
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uitatis figuræ ſit p. </
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<
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id
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s.000880
">Dico
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lineam pe ipſa g
<
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abbr
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minorẽ
">minorem</
expan
>
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eſſe. </
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<
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id
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s.000881
">ſi enim non ſit mi
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nor, eodem, quo ſupra modo demonſtrabimus figuram in
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ſcriptam ad reliquas portiones maiorem proportionem
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habere, quàm be ad ep. </
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>
<
s
id
="
s.000882
">& ſi fiat alia linea le ad ep, ut eſt
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figura inſcripta ad reliquas portiones,
<
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abbr
="
pũctum
">punctum</
expan
>
l extra </
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